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Finding the Fourth Proportional to 518.38, 715.71 and 400.14

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Solution

The fourth proportional to 518.38, 715.71 and 400.14 is: 552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.38 : 715.71 = 400.14 : x
  2. Step 2: Convert to fraction form
    518.38/715.71 = 400.14/x
  3. Step 3: Cross multiply
    518.38x = 715.71 × 400.14
  4. Step 4: Simplify right side
    518.38x = 286,382.20
  5. Step 5: Solve for x
    x = 286,382.20/518.38
  6. Step 6: Final answer
    x = 552.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.